Answers
Angle x = 90°, y = 5 and angle z = 75°.
Here, we are given two figures as shown in the figure above.
Figure 1 is a kite. The diagonals of a kite bisect each other at right angles.
Thus, here, the angle made by the intersection point of diagonals BD and AC will be 90°.
Thus, angle x = 90°.
Now, figure 2 is an isosceles trapezoid. In an isosceles trapezoid the two non-parallel sides are equal and the angles opposite to them are also equal.
Thus, here the two non-parallel sides- FE and GH will be equal.
⇒ y = 5
Further, the angle opposite to GH is 75° and that opposite to FE is z.
Thus, z = 75°
Hence, we find that angle x = 90°, y = 5 and angle z = 75°.
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Related Questions
What can be subtracted from 2/3 to equal 7/12
Answers
Answer:
-1/12
Step-by-step explanation:
7/12 -2/3 = - 1/12
Check
-1/12+2/3=7/12
I am SO confused. Are < and > the signs that have a closed dot on a number line, or do they have an open one? Please help!
Answers
The symbols '>' and '<' have an open dot when displayed on the number line.
Why do the prescribed symbols have an open dot and not a closed dot?
The '>' and '<' symbols have an open dot on the number line because the number that succeeds the symbol is not considered while plotting the range of values that would satisfy any given equation.
Moreover, if a closed dot is put in there, the whole solution becomes incorrect as an unwanted value gets included in the range of values of the domain of the given function.
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in a bag of marbles there are 3 green marbles, 2 red marbles, and 5 blue marbles. you randomly select two marbles from the bag where the first marble is not put back into the bag. what is the probability of getting two blue marbles?
Answers
The probability is 1/9.
What is probability?Probability is the possibility that something is going to occur.Whenever the outcome of an event is uncertain, we can speak of the probability, or likelihood, of a particular outcome. Analyzing events according to their probabilities is called statistics. Probability is calculated by dividing the number of ways an event can occur by the total number of outcomes. Probability and odds are different concepts. Probability mainly he has three types. theoretical probability. experimental probability. axiomatic probability. A simple probability is a calculation of the probability of an outcome or event occurring. Insurance companies use probability statistics to determine the likelihood that a claim will have to be paid. A simple probability is calculated by dividing a specific outcome by all possible outcomes.To learn more about probability from the given link :
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|x| + 4> 8 .............
Answers
Answer:
x>4, x<-4
Step-by-step explanation:
|x| + 4 > 8
|x| > 4
x>4, x<-4
if g(x)=3x+2 find 2g(9)
Answers
ANSWER:
The resulting value is 58
STEP-BY-STEP EXPLANATION:
We have the following function
[tex]g(x)=3x+2[/tex]They tell us that x = 9, therefore
[tex]2g(9)=2\cdot(3\cdot9+2)=2\cdot(27+2)=2\cdot29=58[/tex]f(x) = 2x + 2 in graph form
Answers
The perimeter of the figure below is 60.7 ft. Find the length of the missing side. 7.2 ft 4.1 ft 4.1 ft 4.1 ft 4.1 ft 12.8 ft ? 1.9 ft 1.9 ft 7.2 ft (Note: diagram is NOT to scale)
Answers
we know that
The perimeter of the figure is equal to the sum of its length sides
so
P=7.2(2)+4.1(2)+4.1(2)+12.8+1.9(2)+x
Combine like terms
P=47.4+x
Remember that
P=60.7 ft
substitute
60.7=47.4+x
x=60.7-47.4
x=13.3 ft
therefore
the answer is
13.3 ft-13 = p/7
WILL MARK BRAINLIEST!!
Answers
Answer:
-91
Step-by-step explanation:
-13 x 7
what is the slope.example answer:m=1
Answers
The slope of the given line 2 / 3
What is a slope ?Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
The given graph indicates that the two points are :
A( 3 , 0 ) and B (0 , -2 )
Thus the slope can be given by the formula mentioned below :
[tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]
this means - 2 - 0/ 0 - 3
= - 2/ -3
2 / 3
Thus the slope of the given line 2 /3
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10. Higher Order Thinking Winston compares the heights of two plants
to see which plant grows more per day. The table shows the height
of Plant 1, in centimeters, over 5 days. The graph shows the height
of Plant 2, in centimeters, over 10 days. Winston says that since
Plant 1 grows 6 cm per day and Plant 2 grows 4 cm per day,
Plant 1 grows more per day.
Plant 1
Days
2
Height (cm) 6
a. Do you agree with Winston? Explain your response.
3 4 5
9 12 15
b. What error might Winston have made?
Answers
Answers to both subparts are shown:
Although Plant 2 clearly grew 2 cm per day as per the graph, Plant 1 still outgrew Plant 2 by 4 cm.Winston's claim that Plant 2 grows 4 cm per day is false, as shown by the graph, which contradicts Winston's claim, and Plant 2 actually grows 2 cm per day.What is a graph?The relationship between lines and points is described by a graph, which is a mathematical representation of a network. A graph is made up of some points and connecting lines. It doesn't matter how long the lines are or where the points are located. A node is a name for each element in a graph.So, (A) The given statement of Winston is partially correct.
In the graph, we can clearly see that Plant 2 grew 2 cm per day, but still, Plant 1 grows more than plant 2 by 4 cm.(B) Error in Winston's statement:
From the above part, we know that the error is Winston's statement that Plant 2 grows 2 cm per day, but according to the graph Plant, 2 grows by 2 cm per day.Therefore, answers to both subparts are shown:
Although Plant 2 clearly grew 2 cm per day as per the graph, Plant 1 still outgrew Plant 2 by 4 cm.Winston's claim that Plant 2 grows 4 cm per day is false, as shown by the graph, which contradicts Winston's claim, and Plant 2 actually grows 2 cm per day.Know more about graphs here:
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HELP ME PLS I NEED TO GET 5 of these done!
Answers
The value of y which is calculated from the perimeter given = 7
What is perimeter?Perimeter is defined as the sum total of all the sides of an object. Therefore the perimeter of a square is the sum of the four sides = a+ b+ c +d
The perimeter of the square= 132 units.
The given sides = 2(4y + 3) and ,2(5y)
That is,
132 = 2(4y + 3) + 2(5y)
132= 8y + 6 + 10y
132 = 18y + 6
Make 18y the subject of formula;
18y = 132-6
18y = 126
y = 126/18
y= 7
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What is the equation of a line that has an x-intercept of -4 and a y-intercept of 8?
y = -2x+8
y = 2x + 8
y=-2x - 4
y = 2x 4
Answers
y = - 1/2x is equation of slope-intercept form .
What is the meaning of slope-intercept form?
A straight line has an equation of the type y = mx + b, where m is the slope and b is the y-intercept.Examples. The equation for a line with a slope of 5 and a y-intercept of 3 is given by the example of the Slope Intercept Form, y = 5x + 3. A line with a slope of 2 and a y-intercept of 6 has the equation y = 2x + 6 as its equation.x-intercept = -4
y = -4
y-intercept = 8
x = 8
slope = -y/x ⇒ -4/8 = -1/2
the equation of slope Intercept Form
y = mx + c
points ( x, y) are ( 8 , -4) put in equation
- 4 = -1/2 * 8 + c
- 4 + 4 = c
c = 0
put value of c in equation
y = -1/2x + 0
y = - 1/2x
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HELLOOO HELPPPPP PLSSSSSSSS HELPPPPPPPPPPPPP
Answers
B= 81 sq. ft
B= 9C
Wc= 3 ft
Lc= ?
9C = 81
C = 9
C= L * W
9= L * 3
L = 3 ft
Answer:
3 ft
Step-by-step explanation:
Area of bedroom = 81 ft^2
Arear of closet = Area of bedroom/ 9
= 81/9= 9 ft^2
9= width × length
length = 9÷ width = 9 ÷ 3 = 3
pls help me is due in 30 min
Answers
1540 / 2200 = 0.7
0.7 x 100 = 70%
Final answer - 70%
Question
Divide.
16.85÷5
Answers
Answer:3.37
Here hope this helps
List -2.7, -2.27, -2.3, -0.35 from least to greatest
Answers
A number with a whole number and a fractional component separated by a point is referred to as a decimal.
What is meant decimal places?A number with a whole number and a fractional component separated by a point is referred to as a decimal.
The word Decimus, which means tenth in Latin, is derived from the base word Decem, or 10. As a result, the decimal system, often known as a base-10 system, has 10 as its fundamental unit.
The tenth place is represented by the first digit following the decimal. The hundredth place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.
The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. There are various ways to represent numbers in the decimal system referred to as decimal notation.
Therefore, the correct answer is -2.7, -2.3, -2.27, -0.35.
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There are a total of twenty ghosts, witches, and scarecrows at the haunted house. The number of witches is four less than the number of ghosts. The number of scarecrows is two less than the number of witches. How many witches and ghosts are at the haunted house?
Answers
Answer:
There are 10 ghosts, 6 witches, and 4 scarecrows
Step-by-step explanation:
20 = ghosts, witches, and scarecrows.
ghost = x
20 = x + (x-4) + (x-4-2)
20 = 3x-10
30 = 3x
x = 10
10 = ghosts
10-4 = 6 = witches
10-4-2 = 4 = scarecrows
The number of witches and ghosts at the haunted house are 6 and 10 respectively.
Given that, a total of twenty ghosts, witches, and scarecrows at the haunted house.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of ghosts be x.
Here,
The number of witches is four less than the number of ghosts
Witches =x-4
The number of scarecrows is two less than the number of witches
Scarecrows =x-4-2
= x-6
Total=x+x-4+x-6
3x-10=20
⇒3x=30
⇒x=10
So, number of witches = 6 and number of scarecrows=4
Therefore, the number of witches and ghosts at the haunted house are 6 and 10 respectively.
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Melissa's average daily balance for the last month was $560. The finance charge was $8.12.
What was the monthly percentage rate? Round to the nearest hundredth of a percent.
Answers
Answer:
1.45%
Step-by-step explanation:
[tex] \frac{8.12}{560} (100) = .0145(100) = 1.45\%[/tex]
Which expression is equivalent to k4⋅m9⋅−(k5m4)0?
Answers
Answer: eighty-eight thousand
Step-by-step explanation:
The expression equivalent to [tex]k^4m^9 - (k^5m^4)[/tex] would be; [tex]k^{-1}m^5[/tex]
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To find equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need find the expression into an equivalent form [tex]k^4m^9 - (k^5m^4)[/tex]
This expression could also be given by;
[tex]k^4m^9 - (k^5m^4)[/tex]
Now subtract the like terms to get the values then we get;
[tex]k^4m^9 - (k^5m^4)[/tex] = [tex]k^{-1}m^5[/tex]
Hence, the expression equivalent to form [tex]k^4m^9 - (k^5m^4)[/tex] would be; [tex]k^{-1}m^5[/tex]
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Is 33/2 a terminating or a repeating decimal?
Answers
Answer: Terminating
Step-by-step explanation:
I'm pretty sure because 16.5 isn't repeating
Answer:
Terminating decimal
Step-by-step explanation:
33/2=16.5
the decimal point does not go on forever so its a terminating decimal
a bicylist started riding at 8:00 am the digram below shows the distance the bicylist had traveled at diffrent times. what was the bicylist average rate of speed in miles per hour
Answers
there is no answer because there is no .Th in what ever you ate trying to talk abput
Problem: Mickey Mouse has an account balance of $250 and is withdrawing $15 per
week. Minnie Mouse has $100 in her bank account and deposits $10 each week. At what
week will they have the same amount in their accounts? What will that amount be?
What are you trying to find out:
Workspace:
Solution:
Answers
If you’re depositing money to an account, you are adding more money. So, you’ll use addition.
What are you trying to find out: At what week will both Minnie And Mickey Mouse have an equal account balance? How much money will they both have in their account at that week?
So we can find the answer by using the equation, 250 - 15x = 100 + 10x where the variable x represents the amount of weeks.
Workspace:
You can either replace the x with multiple numbers until you get your answer or solve the problem a quicker way.
1. Move all terms containing x to the left
250 - 15x = 100 + 10x
Use inverse operations, so instead of + 10 you’ll - 10. You can only add, subtract, multiply, and divide alike terms.
250 - 15x - 10x = 100
250 - 25x = 100
2. Move all terms that do NOT contain x to the right
To do this you must do inverse operations, so - 250, remember that you can only preform operations on alike terms.
-25x = 100 - 250
-25x = - 150
3. Divide each term by -25
A variable next to a number means multiplication, and division is the opposite of multiplication.
-25x/-25 = -150/-25
Cancel out both -25s on the left but leave the x
x = -150/-25
x = 6
So, at week 6 both will have the same amount of money in their account. We still have to answer the second question, what will the amount be? But, all we have left to do is replace the x with 6, and figure out the rest, which should be easy.
250 - 15(6) = 100 + 10(6)
250 - 90 = 100 + 60
160 = 160
Solution: At week 6, both Mickey and Minnie Mouse will have an equal amount of money in their account, which would be $160.
(b) Estimate the percentage of customer accounts for which the number of days is between 21 and 35.Almost allof the customer accounts have payment made between 21 and 35 days.
Answers
Given Information:
Average number of days = 28
Standard deviation = 7
Required Information:
Between what two values will approximately 95% of the number of days be?
Solution:
Recall the Empirical Rule,
68% of the data fall within 1 standard deviation from the mean.
95% of the data fall within 2 standard deviations from the mean.
99.7% of the data fall within 3 standard deviations from the mean.
Since we are asked for 95%
Lower limit = μ - (2)σ
Upper limit = μ + (2)σ
Where μ is the average number of days and σ is the standard deviation.
Lower limit = 28 - (2)7 = 28 - 14 = 14 days
Upper limit = 28 + (2)7 = 28 + 14 = 42 days
Part (b)
Estimate the percentage of customer accounts for which the number of days is between 21 and 35.
Lower limit = 21
Upper limit = 35
Lower limit = μ - (x)σ
21 = 28 - (x)7
(x)7 = 28 - 21
(x)7 = 7
x = 7/7 = 1
Which means that 68% of the customer accounts have payment made between 21 and 35 days.
Each month, members of the museum either renew or cancel Month Members lost Members Added Net Change in Members January "-13" 89 February "-28" 12 March "-67" 54 April "-3" 17 From the table above,what is the total change in members? Flag question: Question 6 Question 61 pts From the table above, what is the average change over the four months?
Answers
1. The total change in the members is 61.
2. The average or mean vhange over the four months is 15.25.
How to calculate the value?1. The total change in the members based on the information will be the addition of the values given. This will be:
= (-13 + 89) (-28 + 12) + (-67 + 54) + (-3 + 17)
= 76 -16 - 13 + 14
= 61
The change is 61.
2. The average change over the four months will be the addition of the values divided by 4. This will be:
= Total change / 4
= 61 / 4
= 15.25
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Answer this easy IXL question please
Answers
Answer:
∠C = 30°
Step-by-step explanation:
Trigonometry:[tex]\sf Tan \ \theta = \dfrac{opposite \ side}{adjacent \ side}[/tex]
[tex]\sf = \dfrac{5\sqrt{41}}{5\sqrt{123}}\\\\=\sqrt{\dfrac{41}{123}}\\\\=\sqrt{\dfrac{1}{3}}\\\\= \dfrac{1}{\sqrt{3}}[/tex]
[tex]\sf C =tan^{-1} \ \dfrac{1}{\sqrt{3}}[/tex]
= 30°
The bakers at Healthy Bakery can make 310 bagels in 5 hours. How many bagels can they bake in 18 hours?
Answers
Answer:
Step-by-step explanation:
310/5=62 so he makes 62 in 1 hour
62x18=1116 so he makes 1116 in 18 hours
A medical company tested a new drug for possible side effects. The table shows the relative frequency that a study participant experienced the side effect.
Does this data suggest an association between age and experiencing side effects?
Answers
Please please please help, due in 10 minutes!!! Anyeny bought 3/4 pound of raspberries for $6. What is the cost of 1&1/4 pounds of raspberries?
Answers
Answer
The cost of 1 and (1/4) pounds of raspberries is $10.
Explanation
Anyeny bought (3/4) pounds of raspberries for $6.
What is the cost of 1 and (1/4) pounds of raspberries.
[tex]1\frac{1}{4}=\text{ }\frac{5}{4}[/tex]
(3/4) pounds = $6
(5/4) pounds = x dollars
Creatin a mathematical relation by cross multiplying
(3/4) × x = (5/4) × 6
[tex]\begin{gathered} \frac{3}{4}\times x=\frac{5}{4}\times6 \\ \frac{3x}{4}=\text{ }\frac{30}{4} \\ \text{Cross multiply} \\ 3x\times4=30\times4 \\ 12x=\text{ 120} \\ \text{Divide both sides by 12} \\ \frac{12x}{12}=\frac{120}{12} \\ x=10 \end{gathered}[/tex]Hence, the cost of 1 and (1/4) pounds of raspberries is $10.
Hope this Helps!!!
A concert lasts 1 hour and 30 minutes during the concert orchestra plays for 72 minutes. how long will they play if the concert is 2 hours and 45 minutes long?
PLEASE HELP
Answers
If the concert is 2 hours and 45 minutes long, then the length of time for which the orchestra is played is; 132 minutes.
How long will they play the orchestra of the concert is 2 hours and 45 minutes long?It follows from task content that the length of time for which the orchestra is played be determined by proportion.
Since the number of minutes in 1 hour 30 minutes is; 90 minutes while the number of minutes in 2 hour 45 minutes; 165 minutes.
It therefore follows from proportion that the time for which the orchestra is played in a 2 hours and 45 minutes is;
72/90 = x/165
x = (165 × 72)/90
x = 132 minutes.
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A scale drawing of a school bus has a scale of 1/2 inch to 5 feet.If the length of the school bus is 4 1/2 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.
Answers
The actual length of the bus is 45 feet.
Given that, a scale drawing of a school bus has a scale of 1/2 inch to 5 feet.
What is a scale factor?Scale factor is a number by which the size of any geometrical figure or shape can be changed with respect to its original size.
Here, [tex]4\frac{1}{2} = \frac{9}{2}[/tex]
Let the actual length of the bus be x.
Now, the proportion is
1/2 : 5 :: 9/2 : x
⇒ x/2 = 45/2
⇒ x = 45 feet
Therefore, the actual length of the bus is 45 feet.
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